Search a number
-
+
678777088 = 28112171289
BaseRepresentation
bin101000011101010…
…101000100000000
31202022020110010011
4220131111010000
52342231331323
6151204314304
722551336643
oct5035250400
91668213104
10678777088
11319174300
1216b3a2994
13aa81b462
1466211a5a
153e8ce20d
hex28755100

678777088 has 108 divisors (see below), whose sum is σ = 1578100860. Its totient is φ = 290160640.

The previous prime is 678777061. The next prime is 678777131. The reversal of 678777088 is 880777876.

It can be written as a sum of positive squares in 2 ways, for example, as 539725824 + 139051264 = 23232^2 + 11792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525948 + ... + 527236.

It is an arithmetic number, because the mean of its divisors is an integer number (14612045).

Almost surely, 2678777088 is an apocalyptic number.

678777088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789050430).

678777088 is an abundant number, since it is smaller than the sum of its proper divisors (899323772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

678777088 is a wasteful number, since it uses less digits than its factorization.

678777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 58.

The square root of 678777088 is about 26053.3508017683. The cubic root of 678777088 is about 878.8384675408.

The spelling of 678777088 in words is "six hundred seventy-eight million, seven hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 256 272 352 374 484 544 704 748 968 1088 1289 1408 1496 1936 2057 2176 2578 2816 2992 3872 4114 4352 5156 5984 7744 8228 10312 11968 14179 15488 16456 20624 21913 23936 28358 30976 32912 41248 43826 47872 56716 65824 82496 87652 113432 131648 155969 164992 175304 226864 241043 263296 311938 329984 350608 453728 482086 526592 623876 701216 907456 964172 1247752 1402432 1814912 1928344 2495504 2651473 2804864 3629824 3856688 4991008 5302946 5609728 7713376 9982016 10605892 15426752 19964032 21211784 30853504 39928064 42423568 61707008 84847136 169694272 339388544 678777088